Academic Year 2016-2017
Advanced Fluid Mechanics
Transition to Turbulence & Turbulence - Applications to Transfers, Aerodynamics & Wind Energy
This module is given by myself (E. Plaut) and Joachim Peinke (J. Peinke).
Hereafter we recall the planning and a few information.
In the sessions 2 to 7 of this module, and during the examination, we use Mathematica : bring your laptop with Mathematica.
Find here a collection of texts of past exams.
Nous remercions la Fondation Mines Nancy pour son soutien, qui nous permet d'inviter le Prof. Peinke à donner 3 sessions dans ce module, ainsi qu'une conférence générale.
Natural thermoconvection, linear stability analysis of Rayleigh - Bénard thermoconvection with slip boundary conditions, formal calculations, patterning bifurcation
[ essential of the video presentation ]
S2 January 11 (E. Plaut)
Weakly nonlinear analysis of Rayleigh - Bénard thermoconvection with slip boundary conditions, supercritical bifurcation, elements on further transitions and on numerical computations with a spectral method for the case of no-slip boundary conditions; a glimpse at the Lorenz model & Chaos
[ essential of the video presentation ]
Before 8:30 on Thursday, January 12,
put an hand-written personal solution of Ex. 1.1
General linear stability analysis of slip RBT in my mail box on the first floor
of the Artem building.
Scoring scale:
Q. 1: 4 P ; Q. 2: 6 P ; 1 P of bonus if you use good english.
S3 January 17 (J. Peinke)
Wind energy a clean resource - Conversion principles - Rotor blade aerodynamics
[ 1^{st} presentation: Betz and power 2^{d} presentation: Blade design 3^{d} presentation: Power curve ]
S4 January 18 (J. Peinke)
Rotor blade aerodynamics - Stochastic (Langevin) power curve
[ 4^{th} presentation: Langevin power curve ]
S5 January 19 (J. Peinke)
Wind field and Turbulence
[ 5^{th} presentation: Turbulence 6^{th} presentation: Data analysis - Wind data ]
Wind Energy and the Need to Understand Turbulence
Linear stability analysis of an open shear flow, plane Poiseuille flow: Tollmienn - Schlichting waves, numerical computations with a spectral method
[ essential of the video presentation ]
S7 January 25 (E. Plaut)
Linear and weakly nonlinear stability analysis of an open shear flow: subcritical bifurcation to Tollmienn - Schlichting waves, numerical computations with a spectral method, subcritical & saddle-node bifurcations, transition to turbulence
Find here a new final version of the subject.
Your Notebook should be able, when its first cells are run with Nz= 18, then 19, then 20, etc, to solve Q. 1, 2, 3. You should save it including the outputs of the most important cells (the graphics and the values asked for), after running it with the optimal value of Nz determined in Q. 3. Avoid too large outputs like very big lists...
Scoring scale: Q. 1: 1.5 P ; Q. 2: 1 P ; Q. 3: 2 P ; Q. 4: 4 P ; Q. 5: 1.5 P ; 1 P of bonus if you use good english.
You must realize that this Homework, which is centered on the manipulation of Mathematica, is a training for the Examination. I thus recommend that each student realizes this Homework alone from the beginning to the end.
A debriefing of this HW has been presented on February 10; a corrected version of this debriefing is on the ARCHE Page !
See the collection of texts of exams.
A final debriefing has been presented on February 13; the presentation of this debriefing is on the ARCHE Page !
Emmanuel Plaut |
Last modified: Mon Feb 13 16:01:07 CET 2017 |